{"segment":[{"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/dethihocki1/lv3/img\/2.jpg' \/><\/center>Cho t\u1eadp h\u1ee3p A = {2; 3; 7; 9}. C\u00e1ch vi\u1ebft n\u00e0o sau \u0111\u00e2y sai?","select":["A. 1 $\\notin$ A","B. {2; 7} $\\subset$ A ","C. 7 $\\subset$ A","D. 9 $\\in$ A"],"hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3:<br\/>1 $\\notin$ A<br\/>{2; 7} $\\subset$ A<br\/>7 $\\in$ A<br\/>9 $\\in$ A<br\/>V\u1eady \u0111\u00e1p \u00e1n sai l\u00e0: <span class='basic_pink'> C. 7 $\\subset$ A<\/span><\/span> <br\/>","column":2}],"id_ques":1391},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/dethihocki1/lv3/img\/4.jpg' \/><\/center> T\u1ed5ng c\u1ee7a 276 + 24 + 3 chia h\u1ebft cho s\u1ed1 n\u00e0o sau \u0111\u00e2y?","select":["A. 8","B. 3 ","C. 5","D. 7"],"hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>$\\begin{align*} 276 + 24 + 3 &= 300 + 3\\\\&= 303\\end{align*}$<br\/> 303 : 8 = 37 (d\u01b0 7)<br\/>303 : 3 = 101<br\/>303 : 5 = 60 (d\u01b0 3)<br\/>303 : 7 = 43 (d\u01b0 2)<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> B. 3<\/span><\/span> <br\/>","column":2}],"id_ques":1392},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":10,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/dethihocki1/lv3/img\/3.jpg' \/><\/center> \u01afCLN (24, 16, 8) = <span class='basic_hoi_black'>?<\/span>","select":["A. 8","B. 3 ","C. 5","D. 7"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>Mu\u1ed1n t\u00ecm \u01afCLN c\u1ee7a hai hay nhi\u1ec1u s\u1ed1, ta th\u1ef1c hi\u1ec7n ba b\u01b0\u1edbc sau:<br\/>B\u01b0\u1edbc 1: Ph\u00e2n t\u00edch m\u1ed7i s\u1ed1 ra th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1<br\/>B\u01b0\u1edbc 2: Ch\u1ecdn ra c\u00e1c th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 chung<br\/>B\u01b0\u1edbc 3: L\u1eadp t\u00edch c\u00e1c th\u1eeba s\u1ed1 \u0111\u00e3 ch\u1ecdn, m\u1ed7i th\u1eeba s\u1ed1 l\u1ea5y v\u1edbi s\u1ed1 m\u0169 nh\u1ecf nh\u1ea5t c\u1ee7a n\u00f3. T\u00edch \u0111\u00f3 l\u00e0 \u01afCLN ph\u1ea3i t\u00ecm.<\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3:<br\/>24 = $2^3$ . 3; 16 = $2^4$; 8 = $2^3$<br\/>\u01afCLN (24, 16, 8) = $2^3$ = 8<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> A. 8<\/span><\/span> <br\/>","column":2}],"id_ques":1393},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/dethihocki1/lv3/img\/6.jpg' \/><\/center> BCNN (12, 16, 48) = <span class='basic_hoi_black'>?<\/span>","select":["A. 12","B. 16 ","C. 48","D. 96"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> Mu\u1ed1n t\u00ecm BCNN c\u1ee7a hai hay nhi\u1ec1u s\u1ed1 l\u1edbn h\u01a1n 1, ta th\u1ef1c hi\u1ec7n ba b\u01b0\u1edbc sau:<br\/>B\u01b0\u1edbc 1: Ph\u00e2n t\u00edch m\u1ed7i s\u1ed1 ra th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1<br\/>B\u01b0\u1edbc 2: Ch\u1ecdn ra c\u00e1c th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 chung v\u00e0 ri\u00eang<br\/>B\u01b0\u1edbc 3: L\u1eadp t\u00edch c\u00e1c th\u1eeba s\u1ed1 \u0111\u00e3 ch\u1ecdn, m\u1ed7i th\u1eeba s\u1ed1 l\u1ea5y v\u1edbi s\u1ed1 m\u0169 l\u1edbn nh\u1ea5t c\u1ee7a n\u00f3. T\u00edch \u0111\u00f3 l\u00e0 BCNN ph\u1ea3i t\u00ecm.<\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3:<br\/>12 = $2^2$ . 3; 16 = $2^4$; 48 = $2^4$ . 3<br\/>BCNN (12, 16, 48) = $2^4$ . 3 = 48<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> C. 48<\/span><\/span> <br\/>","column":2}],"id_ques":1394},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/dethihocki1/lv3/img\/8.jpg' \/><\/center> (-3) . [(-51) + 76] = <span class='basic_hoi_black'>?<\/span>","select":["A. 75","B. -75","C. 381","D. -381"],"hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>$\\begin{align*}& (-3) . [(-51) + 76]\\\\&= (-3) . (-51 + 76)\\\\&= (-3) . (76 - 51)\\\\&= (-3) . 25\\\\&= -75\\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> B. -75<\/span><\/span> <br\/>","column":2}],"id_ques":1395},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":" T\u00ecm x, bi\u1ebft: <br\/>x - 21 = -23","select":["A. x = 2","B. x = -2","C. x = 44","D. x = -44"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>Chuy\u1ec3n v\u1ebf -21<br\/><b>L\u01b0u \u00fd: <\/b><br\/>Khi chuy\u1ec3n m\u1ed9t s\u1ed1 h\u1ea1ng t\u1eeb v\u1ebf n\u00e0y sang v\u1ebf kia c\u1ee7a m\u1ed9t \u0111\u1eb3ng th\u1ee9c, ta ph\u1ea3i \u0111\u1ed5i d\u1ea5u s\u1ed1 h\u1ea1ng \u0111\u00f3: d\u1ea5u (+) \u0111\u1ed5i th\u00e0nh d\u1ea5u (-) v\u00e0 d\u1ea5u (-) \u0111\u1ed5i th\u00e0nh d\u1ea5u (+)<\/span> <br\/><span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3:<br\/>$\\begin{align*}x - 21&= -23\\\\x&= -23 + 21\\\\x&= -(23 - 21)\\\\x&= -2\\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'>x = -2<\/span><\/span> <br\/><span class='basic_left'><span class='basic_green'>Nh\u1eadn x\u00e9t: <\/span> N\u1ebfu x - b = a th\u00ec sau khi chuy\u1ec3n v\u1ebf, ta \u0111\u01b0\u1ee3c x = a + b<\/span><\/span>","column":2}],"id_ques":1396},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":" \u0110i\u1ec3m M l\u00e0 trung \u0111i\u1ec3m c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB khi:","select":["A. MA = MB","B. MA = MB = $\\dfrac{AB}{2}$","C. MA + MB = AB","D. T\u1ea5t c\u1ea3 c\u00e1c \u0111\u00e1p \u00e1n tr\u00ean \u0111\u1ec1u \u0111\u00fang"],"hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>M l\u00e0 trung \u0111i\u1ec3m c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB khi:<br\/>+ \u0110i\u1ec3m M n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 B<br\/>+ MA = MB = $\\dfrac{AB}{2}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> MA = MB = $\\dfrac{AB}{2}$<\/span><\/span> <br\/>","column":2}],"id_ques":1397},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":10,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/dethihocki1/lv3/img\/5.jpg' \/><\/center>T\u1eadp h\u1ee3p t\u1ea5t c\u1ea3 c\u00e1c \u01b0\u1edbc c\u1ee7a -15 l\u00e0:","select":["A. {-15; -5; -3; -1; 1; 3; 5; 15}","B. {-15; -5; -3; 0; 3; 5; 15}","C. {-5; -3; -1; 1; 3; 5}","D. {-15; -5; -3; 1; 3; 5; 15}"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>Cho a, b $\\in$ Z v\u00e0 b $\\ne $ 0. N\u1ebfu c\u00f3 s\u1ed1 nguy\u00ean q sao cho a = q.b th\u00ec ta n\u00f3i a chia h\u1ebft cho b. Ta c\u00f2n n\u00f3i a l\u00e0 b\u1ed9i c\u1ee7a b v\u00e0 b l\u00e0 \u01b0\u1edbc c\u1ee7a a.<\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>\u01af(-15) = {-15; -5; -3; -1; 1; 3; 5; 15}<br\/> V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> A. {-15; -5; -3; -1; 1; 3; 5; 15}<\/span><\/span> <br\/>","column":2}],"id_ques":1398},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/dethihocki1/lv3/img\/5.jpg' \/><\/center>T\u00ecm n, bi\u1ebft: (n + 4) $\\vdots$ (n - 1)","select":["A. n $\\in$ {-6; 0; 2; 6}","B. n $\\in$ {-4; -2; 2; 6}","C. n $\\in$ {-4; 0; 2; 6}","D. n $\\in$ {-6; -2; 2; 6}"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>B\u01b0\u1edbc 1: Ph\u00e2n t\u00edch n + 4 v\u1ec1 d\u1ea1ng a.(n - 1) + b, (a, b $\\in $ Z, a $\\ne$ 0)<br\/>B\u01b0\u1edbc 2: T\u00ecm n<\/span> <br\/><span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: n + 4 = (n - 1) + 5<br\/>M\u00e0 (n + 4) $\\vdots$ (n - 1)<br\/>$\\Rightarrow$ (n - 1) + 5 $\\vdots$ (n - 1)<br\/>L\u1ea1i c\u00f3: (n - 1) $\\vdots$ (n - 1) v\u1edbi m\u1ecdi n<br\/> $\\Rightarrow$ 5 $\\vdots$ (n - 1) hay (n - 1) $\\in$ \u01af(5)<br\/>\u01af(5) = {-5; -1; 1; 5}<br\/> $\\Rightarrow$ (n - 1) $\\in$ {-5; -1; 1; 5}<br\/>$\\Rightarrow$ n $\\in$ {-4; 0; 2; 6}<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> C. n $\\in$ {-4; 0; 2; 6}<\/span><\/span> <br\/><\/span><span class='basic_left'><span class='basic_green'>Nh\u1eadn x\u00e9t: <\/span><b> N\u1ebfu a + b chia h\u1ebft cho c v\u00e0 a chia h\u1ebft cho c th\u00ec b chia h\u1ebft cho c <\/b><\/span>","column":2}],"id_ques":1399},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":" Cho AB = 8cm. Tr\u00ean tia AB l\u1ea5y \u0111i\u1ec3m C sao cho AC = 6cm. T\u00ednh CB","select":["A. CB = 14cm","B. CB = 2cm","C. CB = 7cm","D. CB = -2cm"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>B\u01b0\u1edbc 1: So s\u00e1nh AB v\u00e0 AC<br\/>B\u01b0\u1edbc 2: T\u00ecm \u0111i\u1ec3m n\u1eb1m gi\u1eefa v\u00e0 \u00e1p d\u1ee5ng \u0111\u1eb3ng th\u1ee9c c\u1ed9ng \u0111o\u1ea1n th\u1eb3ng \u0111\u1ec3 t\u00ecm CB<br\/>B\u01b0\u1edbc 3: T\u00ecm CB<\/span> <br\/><br\/><span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3:<br\/>AC < AB ( v\u00ec 6cm < 8cm)<br\/>$\\Rightarrow$ C n\u1eb1m gi\u1eefa A v\u00e0 B<br\/>N\u00ean AC + CB = AB<br\/>Thay AB = 8cm; AC = 6cm, ta c\u00f3:<br\/>$\\begin{align*}6 + &CB = 8\\\\&CB= 8 - 6\\\\&CB= 2 (cm)\\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> B. CB = 2cm<\/span> <br\/><\/span> <br\/><\/span>","column":2}],"id_ques":1400}],"id_ques":0}],"lesson":{"save":1,"level":3,"time":44}}